Given Functions F and G, Perform the Indicated Operations $( f g ) ( x )$

question 42

Multiple Choice

Given functions f and g, perform the indicated operations.
-Find the domain of $( f g ) ( x )$ when $f ( x ) = \sqrt { 5 x + 8 }$ and $g ( x ) = \sqrt { 6 x - 7 }$

• A) Domain: \(\left[ \frac { 7 } { 6 } , \infty \right)\)
• B) Domain: \([ 0 , \infty )\)
• C) Domain: \(( - \infty , \infty )\)
• D) Domain: \(\left[ - \frac { 7 } { 6 } , \infty \right]\)

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